String Tension and the Generation of the Conformal Anomaly

Details String Tension and the Generation of the Conformal Anomaly String Tension and the Generation of the Conformal Anomaly

1997-02-26

arxiv.org/abs/hep-th/9702185v2

Phys.Rev. D58 (1998) 047901

Physics

High Energy Physics

High Energy Physics - Theory

More references are included. Final version, to appear in Phys.Rev.D. 6 pages, LaTex, no figures

Scientific paper

10.1103/PhysRevD.58.047901

The origin of the string conformal anomaly is studied in detail. We use a reformulated string Lagrangian which allows to consider the string tension $T_{0}$ as a small perturbation. The expansion parameter is the worldsheet speed of light c, which is proportional to $T_{0}$ . We examine carefully the interplay between a null (tensionless) string and a tensionful string which includes orders $ c^{2} $ and higher. The conformal algebra generated by the constraints is considered. At the quantum level the normal ordering provides a central charge proportional to $ c^{2} $. Thus it is clear that quantum null strings respect conformal invariance and it is the string tension which generates the conformal anomaly.

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